Skip to main content
×
×
Home

Inducing constraint activity in innovative design

  • Jonathan Cagan (a1) and Alice M. Agogino (a2)
Abstract

In this paper, a methodology for inducing trends in a first principle reasoning system for design innovation is presented. Dimensional Variable Expansion is used in 1stPRINCE (FIRST PRINciple Computational Evaluator) to create additional design variables and introduce new prototypes. Trends are observed at each generation of the prototype and induction is used to predict optimal constraint activity at the limit of the iterative procedure. The inductive mechanism is applied to a constant-radius beam under flexural load and a tapered beam of varying radius and superior performance is derived. A circular wheel is created from a primitive-prototype consisting of a rectangular, spinning block that is optimized for minimum resistance to spinning. Although presented as a technique to perform innovative design, the inductive methodology can also be utilized as an AI approach to shape optimization.

Copyright
References
Hide All
Agogino, A. M. and Almgren, A. S. 1987. Techniques for integrating qualitative reasoning and symbolic computation in engineering optimization. Engineering Optimization 12(2), 117135.
Almgren, A. and Agogino, A. M. 1989. A generalization and correction of the welded beam optimal design problem using symbolic computation. ASME Journal of Mechanisms, Transmissions, and Automation in Design 111(1), 137140.
Azarm, S., Bhandarkar, S. M. and Durelli, A. J. 1988. On the experimental vs. numerical shape optimization of a hole in a tall beam. In Proceedings of ASME Design Automation Conference, Kissimmee, FL, September 25–28, pp. 257264.
Cagan, J. 1990. Innovative Design of Mechanical Structures from First Principles. Ph.D. Dissertation, University of California, Berkeley, CA, April.
Cagan, J., and Agogino, A. M. 1987. Innovative design of mechanical structures from first principles. (AI EDAM) 1, 169189.
Cagan, J. and Agogino, A. M. 1989. Inducing optimally directed non-routine designs. Preprints of International Round-Table Conference: Modeling Creativity and Knowledge-Based Creative Design, Heron Island, Queensland, Australia, December 11–14, pp. 95117. A portion to be reprinted in Modeling Creativity and Knowledge-Based Creative Design, Gero, J. S. and Maher, M. L., (Eds), Hillsdale, NJ: Lawrence Erlbaum Associates.
Choy, J. K. and Agogino, A. M. 1986. SYMON: Automated SYmbolic MONotonicity Analysis System for qualitative design optimization. In Proceedings of ASME 1986 International Computers in Engineering Conference, Chicago, July 24–26, pp. 305310.
Courant, R. and Hilbert, D. 1937. Methods of Mathematical Physics, Vol. 1. New York, Interscience.
Haftka, R. T. and Grandhi, R. V. 1986. Structural shape optimization—a survey. Computer Methods in Applied Mechanics and Engineering, 57, 91106.
Howard, H. C., Wang, J., Daube, F. and Rafiq, T. 1989. Applying design-dependent knowledge in structural engineering design. (AIEDAM) 3, 111123.
Jain, P. and Agogino, A. M. 1990. Theory of design: an optimization perspective. Journal of Mechanism and Machine Theory 25(3), 287303.
Michalski, R. S. 1983. A theory and methodology of inductive learning. In Machine Learning: An Artificial Intelligence Approach (Michalski, R. S., Carbonell, J. G. and Mitchell, T. M., eds), pp. 83134. Los Altos, CA: Morgan Kaufman.
Papalambros, P. 1982. Monotonicity in goal and geometric programming. Journal of Mechanical Design 104, 108113.
Papalambros, P. and Wilde, D. J. 1979. Global non-iterative design optimization using monotonicity analysis. Journal of Mechanical Design 101, 645649.
Vanderplaats, G. N. 1984. Numerical Optimization Techniques for Engineering Design: With Applications. New York: McGraw-Hill.
Wilde, D. J. 1986. A maximal activity principle for eliminating overconstrained optimization cases. Transactions of the ASME, Journal of Mechanisms, Transmissions, and Automation in Design 108, 312314.
Wylie, C. R. and Barrett, L. C. 1982. Advanced Engineering Mathematics. New York: McGraw-Hill.
Yang, R. J. and Botkin, M. E. 1987. A modular approach for three-dimensional shape optimization of structures. AIAA Journal 25(3), 492497.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

AI EDAM
  • ISSN: 0890-0604
  • EISSN: 1469-1760
  • URL: /core/journals/ai-edam
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed